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Finding the Third Proportional to 376,300.13 and 536,422.13

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Solution

The third proportional to 376,300.13 and 536,422.13 is: 764,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,300.13 : 536,422.13 = 536,422.13 : x
  2. Step 2: Convert to fraction form
    376,300.13/536,422.13 = 536,422.13/x
  3. Step 3: Cross multiply
    376,300.13x = 536,422.13 × 536,422.13
  4. Step 4: Simplify right side
    376,300.13x = 287,748,696,189.52
  5. Step 5: Solve for x
    x = 287,748,696,189.52/376,300.13
  6. Step 6: Final answer
    x = 764,678.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.